Question

1. choose the correct answer.

1.
5 cm
2.
6 cm
3.
7 cm
the set of line segments ____ meet the requirements to form a triangle.
○ does not
○ does

Explanation:

Step1: Recall Triangle Inequality

For three sides \(a\), \(b\), \(c\) (where \(c\) is the longest side), the sum of any two sides must be greater than the third side. Here, sides are \(5\) cm, \(6\) cm, \(7\) cm (longest is \(7\) cm).

Step2: Check Sum of Two Shorter Sides

Sum of \(5\) and \(6\): \(5 + 6 = 11\), and \(11>7\). Also, \(5 + 7>6\) ( \(12>6\)) and \(6 + 7>5\) ( \(13>5\)). All inequalities hold.

Answer:

does (the option "does")